Question

In: Physics

How many quantum states are possible for an atomic electron for which n=3? (Answer is not...

How many quantum states are possible for an atomic electron for which n=3?

(Answer is not 8 or 12)

Solutions

Expert Solution

Since quantum states of any electron is described by 4 quantum numbers, n, l, ml and s, So

when n = 3, then

possible values of l = 0, 1, 2

Possible values of ml = -2, -1, 0, 1, 2

Possible value of s = +1/2 or -1/2

So total quantum states which is possible for n = 3 will be

n = 3, l = 0, ml = 0, s = +1/2

n = 3, l = 0, ml = 0, s = -1/2

n = 3, l = 1, ml = -1, s = +1/2

n = 3, l = 1, ml = 0, s = +1/2

n = 3, l = 1, ml = 1, s = +1/2

n = 3, l = 1, ml = -1, s = -1/2

n = 3, l = 1, ml = 0, s = -1/2

n = 3, l = 1, ml = 1, s = -1/2

n = 3, l = 2, ml = -2, s = +1/2

n = 3, l = 2, ml = -1, s = +1/2

n = 3, l = 2, ml = 0, s = +1/2

n = 3, l = 2, ml = 1, s = +1/2

n = 3, l = 2, ml = 2, s = +1/2

n = 3, l = 2, ml = -2, s = -1/2

n = 3, l = 2, ml = -1, s = -1/2

n = 3, l = 2, ml = 0, s = -1/2

n = 3, l = 2, ml = 1, s = -1/2

n = 3, l = 2, ml = 2, s = -1/2

So total possible quantum states = 2 + 6 + 10 = 18

Please Upvote.

genius_generous answered 4 months ago
Next > < Previous

Related Solutions

2943.problem How many different possible sets of quantum numbers are there for the n = 3...
2943.problem How many different possible sets of quantum numbers are there for the n = 3 shell?
If the n quantum number of an atomic orbital is 4, What are the possible values...
If the n quantum number of an atomic orbital is 4, What are the possible values of l? What are the possible values of ml?
which of the following sets of quantum numbers (n,l,m) is not possible? a. 3 3 -3...
which of the following sets of quantum numbers (n,l,m) is not possible? a. 3 3 -3 +1/2 b. 2 1 -1 +1/2 c. 2 0 0 +1/2 d. 2 1 0 +1/2 e. 4 2 -1 -1/2
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron...
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (ℓ), the magnetic quantum number (mℓ), and the spin quantum number (ms) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply. n = 6, ℓ= 6, mℓ= 0, ms= 1/2 n = 2, ℓ= 1,...
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron...
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n),(n), the angular momentum quantum number (?),(?), the magnetic quantum number (m?),(m?), and the spin quantum number (ms)(ms) have strict rules which govern the possible values. Identify all allowable combinations of quantum numbers for an electron. 1. n=3, ?=-2, m? = -2, ms = +1/2 2. n=3, ?=2, m? = -2, ms =...
6. (a) The quantum number n describes the of an atomic orbital and the quantum number...
6. (a) The quantum number n describes the of an atomic orbital and the quantum number l describes its _____ (b) When n = 4, the possible values of l are: (c) What type of orbital corresponds to l = 2? (d) What type of atomic orbital has 0 nodal planes? (e) The maximum number of orbitals that may be associated with the quantum number set n = 3, l = 2, and ml = 1 is (f) How many...
6. (a) The quantum number n describes the of an atomic orbital and the quantum number...
6. (a) The quantum number n describes the of an atomic orbital and the quantum number l describes its . (b) When n = 3, the possible values of l are: (c) What type of orbital corresponds to l = 2? (d) What type of atomic orbital has 2 nodal planes? (e) The maximum number of orbitals that may be associated with the quantum number set n = 3, l = 2, and ml = -2 is (f) How many...
what are a possible set of quantum numbers (n,l,ml,ms) of an electron in a 4d orbital
what are a possible set of quantum numbers (n,l,ml,ms) of an electron in a 4d orbital
Which of the following gives a possible quantum numbers assigment for the last electron added to...
Which of the following gives a possible quantum numbers assigment for the last electron added to the sodium atom when developing the electron configuration using the aufbau principle?
How many electrons in an atom could have these sets of quantum numbers? n=3
How many electrons in an atom could have these sets of quantum numbers? (a) n=3 (b) n=4, l=2 (c) n=7, l=3, ml=-1  
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT